Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:52:47.871451Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2504.15087.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:52:47.871451Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:19:48.387587Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T04:44:35.736046Z
53 of 53 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0fc6fe14-ee81-4856-8ae2-ee643e6d01d3 · outbound
Explicit Lossless Vertex Expanders Explicit unique-neighbor expanders
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18482bca-715b-414d-89ba-17298ad0cb65 · outbound
Explicit Lossless Vertex Expanders Bipartite unique-neighbour expanders via Ramanujan graphs
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aadd74f2-22c0-44e2-882c-aadf3599c8f4 · outbound
Explicit Lossless Vertex Expanders Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3535d1ef-ea3b-4962-b8b0-1448f935b116 · outbound
Explicit Lossless Vertex Expanders On-Line Algorithms for Path Selection in a Nonblocking Network
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a6709938-d48f-4038-ba7b-8dba7ee791a8 · outbound
Explicit Lossless Vertex Expanders Random Cayley graphs and expanders
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 041ebba0-01c5-49ae-a586-5c2169cd07ae · outbound
Explicit Lossless Vertex Expanders Optimal construction of edge-disjoint paths in random graphs
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 82ddc268-c146-40ab-84f6-0017e4940cc7 · outbound
Explicit Lossless Vertex Expanders Combining geometry and combinatorics: A unified approach to sparse signal recovery
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7a731c06-d679-42e2-b5f8-8a5d0a3da686 · outbound
Explicit Lossless Vertex Expanders Explicit bounds for primes in arithmetic progressions
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bf332ea0-99ed-41ee-b9be-0a675cd44362 · outbound
Explicit Lossless Vertex Expanders Quasi-Linear Size PCPs with Small Soundness from HDX
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1323e31c-d7fc-4682-92fc-cb3bef2a3771 · outbound
Explicit Lossless Vertex Expanders Tensor products of weakly smooth codes are robust
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2c5fb011-b32c-49cc-910f-dc182814dd2f · outbound
Explicit Lossless Vertex Expanders Two-Sided Lossless Expanders in the Unbalanced Setting , 2024
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 436b29d1-3d61-45b4-8237-ae0bb14d1977 · outbound
Explicit Lossless Vertex Expanders Unique-neighbor Expanders with Better Expansion for Polynomial-sized Sets
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 68008d2a-c9b9-4b5e-a064-4a5ba84df820 · outbound
Explicit Lossless Vertex Expanders HDX Condensers
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1ee521dc-5c10-4a7e-9a96-15ee8a45e132 · outbound
Explicit Lossless Vertex Expanders Randomness conductors and constant-degree lossless expanders
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71c915e5-cd43-4411-b735-096b9c1b6509 · outbound
Explicit Lossless Vertex Expanders On quaternions and octonions
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation df4e6047-ee60-4b3f-ba6e-9b4ab85e2b16 · outbound
Explicit Lossless Vertex Expanders Locally Testable Codes with constant rate, distance, and locality
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bf70ad80-d645-46bc-8ca2-4e07eae6c515 · outbound
Explicit Lossless Vertex Expanders Arithmetic of quaternions
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5892bf04-4542-48e1-b41d-ad42d95811a9 · outbound
Explicit Lossless Vertex Expanders Expanders and PCPs: Emergence from Local to Global
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e12f5682-681b-42b0-a9ed-04a11bd5c5ae · outbound
Explicit Lossless Vertex Expanders Expansion of High-Dimensional Cubical Complexes: with Application to Quantum Locally Testable Codes
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ed272062-b662-4ae1-a077-edc112ef0947 · outbound
Explicit Lossless Vertex Expanders Robust local testability of tensor products of LDPC codes
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7d1bb192-2968-489e-855e-bc5b6e5f3ea0 · outbound
Explicit Lossless Vertex Expanders Almost Euclidean subspaces of _1^N via expander codes
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec419024-7233-4877-8bb4-e308850ad7cc · outbound
Explicit Lossless Vertex Expanders _p -Spread and Restricted Isometry Properties of Sparse Random Matrices
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4806c33f-a03e-496d-a01a-3978408f0ef0 · outbound
Explicit Lossless Vertex Expanders New explicit constant-degree lossless expanders
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d490e11a-09a0-4afb-b105-ea65e09b6bd7 · outbound
Explicit Lossless Vertex Expanders Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f2b88a0-3b14-41b4-b8e7-a35b763798d3 · outbound
Explicit Lossless Vertex Expanders Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f9d61406-8006-4a85-abfd-d1aa0711f770 · outbound
Explicit Lossless Vertex Expanders Expander graphs and their applications
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03f1a96c-88de-491a-b624-1654bd1b1749 · outbound
Explicit Lossless Vertex Expanders Explicit two-sided unique-neighbor expanders
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67291cb7-63e1-4f13-b58f-ff84d50572a4 · outbound
Explicit Lossless Vertex Expanders Monotone circuits for the majority function
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ca72e003-b432-4c2a-9abb-ed96424b7fa8 · outbound
Explicit Lossless Vertex Expanders The Ramanujan property for regular cubical complexes
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 57945f35-cb22-4f76-b372-551bd951154b · outbound
Explicit Lossless Vertex Expanders Explicit Abelian Lifts and Quantum LDPC Codes
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aeb17781-ebfa-4433-89a3-6f45c5dd011e · outbound
Explicit Lossless Vertex Expanders Eigenvalues and expansion of regular graphs
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a393f06b-0cd2-446f-8f85-1c16307034a3 · outbound
Explicit Lossless Vertex Expanders Deterministic construction of a high dimensional _p section in _1^n for any p < 2
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c62af958-9474-4c2f-b501-6aba29992044 · outbound
Explicit Lossless Vertex Expanders Combinatorics via closed orbits: number theoretic Ramanujan graphs are not unique neighbor expanders
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2491fb41-a14f-4f93-b162-316d577a9784 · outbound
Explicit Lossless Vertex Expanders Simple Constructions of Unique Neighbor Expanders from Error-correcting Codes
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 58c4f2d8-a26c-4936-8da8-1b72a01dbce7 · outbound
Explicit Lossless Vertex Expanders Unbalanced Expanders from Multiplicity Codes
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f06364df-214a-4c6f-9b01-212de5a7e949 · outbound
Explicit Lossless Vertex Expanders Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c5b97622-91ea-43bc-b8b6-e2f4f1b1081b · outbound
Explicit Lossless Vertex Expanders c^3 -Locally Testable Codes from Lossless Expanders
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 155ffa88-37f7-4087-815d-504e3a36af5d · outbound
Explicit Lossless Vertex Expanders Good quantum LDPC codes with linear time decoder from lossless expanders
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c21c3e53-5db9-43b8-8880-71c2cf3fd58d · outbound
Explicit Lossless Vertex Expanders Ramanujan graphs
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a3843dcb-ef86-4b13-b701-70356fdf667c · outbound
Explicit Lossless Vertex Expanders Explicit constructions of R amanujan complexes of type A _d
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a7be38d-2738-4234-9a82-902324b6bc7c · outbound
Explicit Lossless Vertex Expanders Ramanujan complexes of type A _d
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbf49c9d-7a7c-4bb6-9434-3b13f03f66a8 · outbound
Explicit Lossless Vertex Expanders Discrete groups, expanding graphs and invariant measures , volume 125
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2438ec6-f224-42fa-9118-124b4cd09e06 · outbound
Explicit Lossless Vertex Expanders An inequality related to the isoperimetric inequality
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 58807a8d-c521-4864-a560-e34dd929bfe6 · outbound
Explicit Lossless Vertex Expanders High-Girth Near-Ramanujan Graphs with Lossy Vertex Expansion
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ebde9915-4ae3-4dc4-89dc-efe35b127bd0 · outbound
Explicit Lossless Vertex Expanders Existence and explicit constructions of q+1 regular R amanujan graphs for every prime power q
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8de51eae-18b3-4a64-baf2-260a68e9bad3 · outbound
Explicit Lossless Vertex Expanders On the arithmetic of quaternions
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c25dc09d-dfa0-466f-805f-cd760a923745 · outbound
Explicit Lossless Vertex Expanders Self-routing superconcentrators
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3ac4e15d-6123-4203-8420-5bc99b3882f4 · outbound
Explicit Lossless Vertex Expanders Asymptotically good quantum and locally testable classical LDPC codes
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 29904757-4959-4ecf-b22c-e8f7dc0fef81 · outbound
Explicit Lossless Vertex Expanders Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c2a76b0b-6d9b-47a5-a06f-c0b8e6cda59e · outbound
Explicit Lossless Vertex Expanders Theory at the Institute and Beyond, February 2025
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9465736f-716b-4d18-8bae-cb5b5e483d96 · outbound
Explicit Lossless Vertex Expanders Expander codes
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12288a61-68f9-4a69-a5d3-0135fb479b97 · outbound
Explicit Lossless Vertex Expanders Lossless condensers, unbalanced expanders, and extractors
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cb8d650d-9299-44dc-ae85-846107144ecc · outbound
Explicit Lossless Vertex Expanders Linear-time decoding of regular expander codes
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 60fcb480-ec62-46f8-9964-b511f5abd51a · inbound
Discrete Poincar\'e inequalities and universal approximators for random graphs Explicit Lossless Vertex Expanders
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae7a083d-41cd-499d-a261-8cfbf6d2f13e · inbound
A Simple Sub-Polynomial Degree Coboundary Expander Explicit Lossless Vertex Expanders
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.